Chip giant TSMC crosses $1 trillion market cap, riding on the back of Nvidia's gains

• Shares of upstream chip companies TSMC and ASML have surged on the back of Nvidia's gains.
• TSMC's market cap briefly crossed $1 trillion on Monday.
• The stock price of ASML — Europe's third-most valuable company — crossed 1,000 euros apiece.

Tech giant Nvidia has been riding the artificial intelligence wave that made it one of the world's most valuable companies.